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Nonlinear Waves and Weak Turbulence

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Edited by V. E. Zakharov

This book is a collection of papers on dynamical and
statistical theory of nonlinear wave propagation in dispersive
conservative media. Emphasis is on waves on the surface of an ideal
fluid and on Rossby waves in the atmosphere. Although the book deals
mainly with weakly nonlinear waves, it is more than simply a
description of standard perturbation techniques. The goal is to show
that the theory of weakly interacting waves is naturally related to
such areas of mathematics as Diophantine equations, differential
geometry of waves, Poincaré normal forms, and the inverse
scattering method.

Readership

Graduate students and research mathematicians interested in the
theory of nonlinear waves and its applications.

This book is a collection of papers on dynamical and
statistical theory of nonlinear wave propagation in dispersive
conservative media. Emphasis is on waves on the surface of an ideal
fluid and on Rossby waves in the atmosphere. Although the book deals
mainly with weakly nonlinear waves, it is more than simply a
description of standard perturbation techniques. The goal is to show
that the theory of weakly interacting waves is naturally related to
such areas of mathematics as Diophantine equations, differential
geometry of waves, Poincaré normal forms, and the inverse
scattering method.

Book Series Name:
American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences